Campus Units

Mathematics

Document Type

Article

Publication Version

Published Version

Publication Date

2009

Journal or Book Title

Rocky Mountain Journal of Mathematics

Volume

39

Issue

3

First Page

757

Last Page

764

DOI

10.1216/RMJ-2009-39-3-757

Abstract

We study commutative, nonassociative algebras satisfying the identity

(1) ((yx)x)x = 0


We show that finitely generated algebras over a field K of characteristic ≠ 2 satisfying (1) are solvable. For x in an algebra A, define the multiplicatin operator Rx by yRx = yx, for all yA. Our identify is then that Rx3 = 0.

Comments

This article is published as Correa, Ivan, and Irvin Roy Hentzel. "Commutative Finitely Generated Algebras Satisfying ((yx) x) x= 0 are Solvable." Rocky Mountain Journal of Mathematics 39, no. 3 (2009): 757-764. DOI: 10.1216/RMJ-2009-39-3-757. Posted with permission.

Copyright Owner

Rocky Mountain Mathematics Consortium

Language

en

File Format

application/pdf

Included in

Algebra Commons

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